Answer:
D
Step-by-step explanation:
2*5 = 10
10 > 6
You can see this as.... you go to the bank, deposit your salary and they give you annually 3% in interest
how much will it be in 16 years?
![\bf \qquad \qquad \textit{Future Value of an ordinary annuity} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7BFuture%20Value%20of%20an%20ordinary%20annuity%7D%0A%5C%5C%5C%5C%0AA%3Dpymnt%5Cleft%5B%20%5Ccfrac%7B%5Cleft%28%201%2B%5Cfrac%7Br%7D%7Bn%7D%20%5Cright%29%5E%7Bnt%7D-1%7D%7B%5Cfrac%7Br%7D%7Bn%7D%7D%20%5Cright%5D%0A%5C%5C%5C%5C)
![\bf \begin{cases} A= \begin{array}{llll} \textit{original amount}\\ \textit{already compounded} \end{array} \begin{array}{llll} \end{array}\\ pymnt=\textit{periodic payments}\to &40,000\\ r=rate\to 3\%\to \frac{3}{100}\to &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &16 \end{cases} \\\\\\ A=40000\left[ \cfrac{\left( 1+\frac{0.03}{1} \right)^{1\cdot 16}-1}{\frac{0.03}{1}} \right]](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%0AA%3D%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A%5Ctextit%7Boriginal%20amount%7D%5C%5C%0A%5Ctextit%7Balready%20compounded%7D%0A%5Cend%7Barray%7D%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A%0A%5Cend%7Barray%7D%5C%5C%0Apymnt%3D%5Ctextit%7Bperiodic%20payments%7D%5Cto%20%2640%2C000%5C%5C%0Ar%3Drate%5Cto%203%5C%25%5Cto%20%5Cfrac%7B3%7D%7B100%7D%5Cto%20%260.03%5C%5C%0An%3D%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A%5Ctextit%7Btimes%20it%20compounds%20per%20year%7D%5C%5C%0A%5Ctextit%7Bannually%2C%20thus%20once%7D%0A%5Cend%7Barray%7D%5Cto%20%261%5C%5C%0A%0At%3Dyears%5Cto%20%2616%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0AA%3D40000%5Cleft%5B%20%5Ccfrac%7B%5Cleft%28%201%2B%5Cfrac%7B0.03%7D%7B1%7D%20%5Cright%29%5E%7B1%5Ccdot%20%2016%7D-1%7D%7B%5Cfrac%7B0.03%7D%7B1%7D%7D%20%5Cright%5D)
Answer:
Step-by-step explanation:
We first need to find the measure of the other 2 angles. The angles of a quadrilateral all add up to equl 360, so:
360 - 249 - 31 = 80
The other 2 angles add up to equal 80 degrees. If these angles exist in a 3:17 ratio, then algebraically,
3x + 17x = 80 and
20x = 80 so
x = 4. That means that one angle is 3(4) = 12 and the other angle is 17(4) = 68.
249 + 31 + 12 + 68 = 360.
Answer:
Step-by-step explanation:
The far right side of the triangle is 17 cm, which is the height.
The base would be 34 minus 17 because whole length of the rectangle is 34 and the triangle covers all but 17 of it.
So then you would take 1/2 of 17.
Then multiply it by 17 to get 160.5
